A simple approach to the angular momentum distribution in the ground states of many-body systems

Details A simple approach to the angular momentum distribution in the ground states of many-body systems A simple approach to the angular momentum distribution in the ground states of many-body systems

2001-12-26

arxiv.org/abs/nucl-th/0112075v1

Phys.Rev. C66 (2002) 034302

Physics

Nuclear Physics

Nuclear Theory

8 pages, 3 figures, to be published

Scientific paper

10.1103/PhysRevC.66.034302

We propose a simple approach to predict the angular momentum I ground state (I g.s.) probabilities of many-body systems that does not require the diagonalization of hamiltonians with random interactions. This method is found to be applicable to {\bf all} cases that have been discussed: even and odd fermion systems (both in single-j and many-j shells), and boson (both sd and sdg) systems. A simple relation for the highest angular momentum g.s. probability is found. Furthermore, it is suggested for the first time that the 0g.s. dominance in boson systems and in even-fermion systems is given by two-body interactions with specific features.

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